I play with quite extreme grips (extreme sw forehand, sw 1hbh), and I find that off of both wings, my normal rally ball is very looping and kicks high, but when I'm in a position to hit a very attacking ball, my shots always tend to fly closer over the net, go a lot faster to the target, and not kick up as high.

I don't want that to happen. I want every single shot I hit to be a high looper. When I swing as fast as possible - how do I make sure that that looper gets even more spin, height and kick off the court than usual, instead of turning into a flatter shot?

Why wouldn't you want this? Even Nadal flattens the killer shots. Even Gasquet does. Almagro does. All them hit loopy in general. Killer shots bounce lower and go faster so your opponent has less time to react and hit a better shot. It's good to flatten a bit when you're in position to do so, because it does put your opponent in difficulty. You're fine doing so, there's nothing wrong really.

Or if you really don't want to flatten or have kill shots at all, you can basically push behind the baseline waiting for your opponent to put it out or in the net...

Why wouldn't you want this? Even Nadal flattens the killer shots. Even Gasquet does. Almagro does. All them hit loopy in general. Killer shots bounce lower and go faster so your opponent has less time to react and hit a better shot. It's good to flatten a bit when you're in position to do so, because it does put your opponent in difficulty. You're fine doing so, there's nothing wrong really.

Or if you really don't want to flatten or have kill shots at all, you can basically push behind the baseline waiting for your opponent to put it out or in the net...

I don't necessarily want to push the other guy to death, but when I get the chance to hit a big shot, I want to hit a shot with such heavy topspin that it travels fairly quickly to the target destination but just bounces clean over their heads when it lands - that's my style - I don't like to hit flat.

My shots are already like 'fast lobs' in that they have the trajectory of lobs (maybe slightly lower), but go through the air a lot quicker than lobs - I want that effect to be magnified when I really go for it - not to hit a flat shot.

Except even the players who hit the loopiest shots flatten when it's time to kill. Because in such situations, flattening has more advantages than topspin. The ball is faster than a topspin shot, skids and bounces low, has more power than a TS shot and is penetrative enough to put your opponent in difficulty. Again, there's nothing wrong with it. If you really don't want to hit flat at all, don't attack shot balls, because attacking short balls equals hitting flatter.

It sounds like you're flattening through your shot for a winner, then wondering why your shot isn't flying in the same trajectory. If you want to hit a big topspin winner, you'll need to swing up the ball even more aggressively, driving more aggressively with the entire body (especially the legs). These kinds of shots require a lot of strength, and only the strongest of players can hit those kinds of shots consistently.

Those topspin winners can be much harder to hit than flat winners, because the higher bounce gives your opponent more time to run down the shot, and all the energy that you need to put into spinning the ball is energy you can't put into hitting the ball harder. They work best when pulling the opponent off of the court and hitting extreme angles with fairly high consistency.

If you want to hit a clean winner as a deep semi-lob, you will need to be really quite strong, have great timing and have good technique. You will need to be able to generate enough pace to get past the opponent, with a ton of topspin to drag it down from the height it is at.

To execute, you must grunt as loudly as you can while hitting at an upward angle of 80 degrees with your racket face closed 40 degrees. You will finish over your head lasso style. Aim less than a foot over the net; your topspin will make the ball kick up 8 feet into the fence. After you hit your shot, you must pump your fist, pick your butt, rinse, and repeat.